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See all on WikipediaUncountable set - Wikipedia
In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable. The uncountability of a set is closely related to its cardinal number: a set is uncountable if its cardinal number is larger than aleph-null, the cardinality of the natural numbers. See more
There are many equivalent characterizations of uncountability. A set X is uncountable if and only if any of the following conditions … See more
• If an uncountable set X is a subset of set Y, then Y is uncountable. See more
The best known example of an uncountable set is the set R of all real numbers; Cantor's diagonal argument shows that this set is uncountable. The diagonalization … See more
• Halmos, Paul, Naive Set Theory. Princeton, NJ: D. Van Nostrand Company, 1960. Reprinted by Springer-Verlag, New York, 1974. See more
Wikipedia text under CC-BY-SA license Mass noun - Wikipedia
In linguistics, a mass noun, uncountable noun, non-count noun, uncount noun, or just uncountable, is a noun with the syntactic property that any quantity of it is treated as an undifferentiated unit, rather than as something with discrete elements. Uncountable nouns are distinguished from count nouns.
Given that different languages have different grammatical features, the actual test for which noun…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 7 mins
Countable set - Wikipedia
WEBA countable set that is not finite is said to be countably infinite . The concept is attributed to Georg Cantor, who proved the existence of uncountable sets, that is, sets that are not …
Cantor's diagonal argument - Wikipedia
WEBThe set T is uncountable. The proof starts by assuming that T is countable . Then all its elements can be written in an enumeration s1, s2, ... , sn, ... . Applying the previous …
First uncountable ordinal - Wikipedia
WEBIn mathematics, the first uncountable ordinal, traditionally denoted by or sometimes by , is the smallest ordinal number that, considered as a set, is uncountable. It is the …
Count noun - Wikipedia
WEBIn linguistics, a count noun (also countable noun) is a noun that can be modified by a quantity and that occurs in both singular and plural forms, and that can co-occur with …
Uncountable set - Simple English Wikipedia, the free encyclopedia
WEBAn uncountable set is an infinite set that is impossible to count. If we try to count the elements, we will always skip some. It does not matter what size step we take. The set …
uncountable - Wiktionary, the free dictionary
WEBJun 12, 2024 · ( grammar, of a noun) That cannot be used freely with numbers or the indefinite article, and therefore usually takes no plural form. Example: information . Many …
Measure word - Simple English Wikipedia, the free encyclopedia
WEBA measure word is a word or morpheme (the smallest meaningful unit in a language) that shows how much of something there is. In English, measure words are used to show …
Cantor's first set theory article - Wikipedia
WEBCantor's article was published in 1874. In 1879, he modified his uncountability proof by using the topological notion of a set being dense in an interval. Cantor's article also …
Uncountable Nouns | Learn English
WEBUnlike countable nouns, uncountable nouns are substances, concepts etc that we cannot divide into separate elements. We cannot "count" them. For example, we cannot count …
Countable or uncountable, and why it matters - About Words
WEBMar 21, 2018 · It is important to know whether a noun is countable or uncountable, otherwise you are likely to make basic grammar mistakes. For example, countable …
Examples of Uncountable Infinite Sets - ThoughtCo
WEBSep 7, 2018 · Infinite sets can be classified as countable or uncountable. These examples of uncountable sets help illustrate the concept.
UNCOUNTABLE | definition in the Cambridge English Dictionary
WEBUNCOUNTABLE meaning: 1. An uncountable noun is not used with "a" or "an" and cannot be made plural: 2. An uncountable…. Learn more.
Uncountable definition - Math Insight
WEBUncountable is in contrast to countably infinite or countable. For example, the set of real numbers in the interval [0, 1] [ 0, 1] is uncountable. There are a continuum of numbers in …
9.3: Uncountable Sets - Mathematics LibreTexts
WEBApr 17, 2022 · The open interval (0, 1) is our first example of an uncountable set. The cardinal number of (0, 1) is defined to be c, which stands for the cardinal number of the …
Nouns: countable and uncountable - Cambridge Grammar
WEBThese are called uncountable nouns, because they cannot be separated or counted. Some examples of uncountable nouns are: Ideas and experiences: advice, information, …
1.4: Countable and Uncountable Sets - Mathematics LibreTexts
WEBA set \ (S\) is countable if there is a bijection \ (f : \mathbb {N} \rightarrow S\). An infinite set for which there is no such bijection is called uncountable.
Countable set - Simple English Wikipedia, the free encyclopedia
WEBIn mathematics (particularly set theory ), a countable set is a set whose elements can be counted. A set with one thing in it is countable, and so is a set with one hundred things …
Uncountable Definition & Meaning - Merriam-Webster
WEBThe meaning of UNCOUNTABLE is unable to be counted; especially : of an amount too great to be counted. How to use uncountable in a sentence.
uncountable adjective - Definition, pictures, pronunciation and …
WEBDefinition of uncountable adjective in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
How to Tell if a Noun is Countable or Uncountable | Examples
WEBJun 21, 2019 · Uncountable nouns, also known as mass nouns or noncount nouns, refer to a mass of something or an abstract concept that can’t be counted (except with a unit of …
Uncountable vs Countable Infinity - Mathematics Stack Exchange
WEB@DRF 'Almost all' has a well-defined meaning (or rather meanings – depending on a field of mathematics), and Théophile used it correctly. See en.wikipedia.org/wiki/Almost_all …
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